Find x. assume that segments that appear tangent are tangent.

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

segment BC is a tangent to the circle at point B  ---> given problem

AB is a radius of the circle

The tangent BC is perpendicular to the radius AB

Remember that

According to the Perpendicular Tangent Theorem, tangent lines are always perpendicular to a circle's radius at the point of intersection

so

The triangle ABC is a right triangle

Applying the Pythagorean Theorem

substitute the given values

solve for x